Question

若y分之一减x分之一等于3,则分式2x+3xy-2y/x-2xy-y的值是多少?

Answer 1

1/y-1/x=3

则(x-y)/xy=3

x-y=3xy

原式=[2(x-y)+3xy]/[(x-y)-2xy]

=[2(3xy)+3xy]/[(3xy)-2xy]

=9xy/xy

=9